Information on Result #697600
Linear OA(32100, 1050, F32, 48) (dual of [1050, 950, 49]-code), using construction X applied to Ce(47) ⊂ Ce(38) based on
- linear OA(3292, 1024, F32, 48) (dual of [1024, 932, 49]-code), using an extension Ce(47) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,47], and designed minimum distance d ≥ |I|+1 = 48 [i]
- linear OA(3274, 1024, F32, 39) (dual of [1024, 950, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(328, 26, F32, 8) (dual of [26, 18, 9]-code or 26-arc in PG(7,32)), using
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
- Reed–Solomon code RS(24,32) [i]
- discarding factors / shortening the dual code based on linear OA(328, 32, F32, 8) (dual of [32, 24, 9]-code or 32-arc in PG(7,32)), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(32100, 986, F32, 2, 48) (dual of [(986, 2), 1872, 49]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (52, 100, 986)-net over F32 | [i] | ||
| 3 | Linear OOA(32100, 525, F32, 2, 48) (dual of [(525, 2), 950, 49]-NRT-code) | [i] | OOA Folding | |